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Finding the Fourth Proportional to 22,206.99, 30,659.00 and 13,834.83

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Solution

The fourth proportional to 22,206.99, 30,659.00 and 13,834.83 is: 19,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,206.99 : 30,659.00 = 13,834.83 : x
  2. Step 2: Convert to fraction form
    22,206.99/30,659.00 = 13,834.83/x
  3. Step 3: Cross multiply
    22,206.99x = 30,659.00 × 13,834.83
  4. Step 4: Simplify right side
    22,206.99x = 424,161,983.80
  5. Step 5: Solve for x
    x = 424,161,983.80/22,206.99
  6. Step 6: Final answer
    x = 19,100.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.